7.ns – The Number System Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
8 Weeks
7.ns.1 – Apply and extend previous understanding of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram
3
7.ns.2 – Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
3
7.ns.3 – Solve real-world and mathematical problems involving the four operations with rational numbers.
2
7.rp – Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems.
6 Weeks
7.rp.1 – Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.
1
7.rp.2 – Recognize and represent proportional relationships between quantities.
3
7.rp.3 – Use proportional relationships to solve multistep ratio and percent problems.
2
7.ee – Expressions and Equations Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
13 Weeks
7.ee.1 – Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coeffecients.
3
7.ee.2 – Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
2
7.ee.3 – Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
2
Solving One-Step and Two-Step Equations
2
7.ee.4.a – Use variables to represent quantities in a real-world or mathematical problems, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
*Solve word problems leading to equations of the form px + q = r and p(x+q) = r, where p,q, and r are specific rational numbers.
2
7.ee.4.b - Use variables to represent quantities in a real-world or mathematical problems, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
*Solve word problems leading to inequalities of the form px+q>r or px+q<r, where p,q, and r are specific rational numbers.
2
7.g - Geometry Draw, construct, and describe geometrical figures and describe the relationships between them. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
6 Weeks
7.g.2 – Draw geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
7.g.3 - Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
2
7.g.1 – Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
2
7.g.4 – Know the form for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationships between the circumference and area of a circle.
7.g.6 – Solve real-world and mathematical problems involving area, volume, and surface area of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
2
7.sp – Statistics and Probability Use random sampling to draw inferences about a population. Draw informational comparative inferences about two populations. Investigate chance processes and develop, use, and evaluate probability models.
5 Weeks
7.sp.1 – Understand that statistics can be used to gain information about a population by examining a sample of the population, generalizations about a population from a sample are valid only if the sample is representative of that population.
1
7.sp.2 – Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples of the same size to gauge the variation in estimates or predictions.
1
7.sp.3 – Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
1
7.sp.4 – Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
1
7.sp.5 – Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Use properties of operations to generate equivalent expressions.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
*Solve word problems leading to equations of the form px + q = r and p(x+q) = r, where p,q, and r are specific rational numbers.
*Solve word problems leading to inequalities of the form px+q>r or px+q<r, where p,q, and r are specific rational numbers.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.g.3 - Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
7.g.6 – Solve real-world and mathematical problems involving area, volume, and surface area of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Use random sampling to draw inferences about a population.
Draw informational comparative inferences about two populations.
Investigate chance processes and develop, use, and evaluate probability models.